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Finding the Fourth Proportional to 422.20, 630.77 and 349.48

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Solution

The fourth proportional to 422.20, 630.77 and 349.48 is: 522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.20 : 630.77 = 349.48 : x
  2. Step 2: Convert to fraction form
    422.20/630.77 = 349.48/x
  3. Step 3: Cross multiply
    422.20x = 630.77 × 349.48
  4. Step 4: Simplify right side
    422.20x = 220,441.50
  5. Step 5: Solve for x
    x = 220,441.50/422.20
  6. Step 6: Final answer
    x = 522.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.